June 17, 2011: Three Strikes and In | June 16 | June 18 | 2011 | FOTD Home |
Fractal
visionaries
and enthusiasts:
With
today's FOTD we
take a brief break from the land of ultra-low exponents and check the
land of mixed exponents. But have no fear, we'll soon return
to
the near-linear stuff.
We check the parent fractal that comes about when a Mandelbrot set is
caught about halfway through the process of morphing into a Z^(3.5)
Mandeloid. This parent fractal resembles a Mandelbrot set
with
its head cut off and sprouting more buds and arms than an octopus.
Today's scene lies in the area where Seahorse Valley of the Mandelbrot
set once was located. The valley has long since been
obliterated,
but a bit of scattered debris remains in the vicinity.
Today's
image lies rather deep in some of this debris.
I rated the image at an 8, and this time it *IS* because of the
coloring, most of which came about serendipitously. (If I had
created the colors myself, I would have awarded myself the standard
half-point bonus and rated the image at an 8-1/2.
Thursday was spoiled by too many clouds here at Fractal Central, while
occasional showers of rain made things even less pleasing.
The
fractal cats didn't worry about the clouds, though they seemed to
approve of the temperature of 72F 22C, neither stretching out to keep
cool nor curling up to keep warm.
The humans had a typical mid-week day. The FOTD is now up to
date, and unless an antiquing trip arises on Saturday, will remain up
to date for the foreseeable future. The next one will be
posted
in 24 hours. Until then, take care, and did you hear about
the
Atheist who died and was surprised when he found out that he was right?
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
ThreeStrikesAndIn { ; time=0:00:57.95-SF5 on P4-2000
reset=2004 type=formula formulafile=basicer.frm
formulaname=FinDivBrot-2 function=recip passes=1
center-mag=-0.7815581763978199/-0.0665776945443642\
/3.261242e+011/1/2.5/0 params=3.5/5/0/0 float=y
maxiter=1800 inside=0 logmap=84 periodicity=0
colors=00010u10s10q30o40m50j60g70d80a90ZA1WA3TA5QA\
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zczz`zzZzzWzzUzzTzzTzzTzzSzzSzzSzzSzzRzzRzzRzzQzzQ\
zzQzzQzzTzzVzzYzz_zzbzzdzzgzzizzlzznzzqzzszzrzzqzz\
pzzpzzozznzzmzzmzzlzzkzzj }
frm:FinDivBrot-2 { ; Jim Muth
z=(0,0), c=pixel, a=-(real(p1)-2),
esc=(real(p2)+16), b=imag(p1):
z=(b)*(z*z*fn1(z^(a)+b))+c
|z| < esc }
END PARAMETER FILE=========================================